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PreprintarXiv licencearXiv

On Entropy and Orlicz endpoint estimates and the dual Muckenhoupt-Wheeden estimate

  • Israel P. Rivera-Ríos
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Abstract

In this paper the incomparability of certain Rahm entropy maximal functions introduced by Rahm and Orlicz maximal functions that arise in quantitative endpoint estimates for Calderón-Zygmund operators is established. Also the dual Muckenhoupt-Wheeden two-weight estimates introduced by Lerner, Ombrosi and Pérez are revisited, improving the possible choices for the maximal function in the left hand side of the inequality, via a transference principle from two-weight endpoint inequalities.

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Cite

BibTeXRIS
BibTeX
@misc{riverarios2026entropy,
  title = {{On Entropy and Orlicz endpoint estimates and the dual Muckenhoupt-Wheeden estimate}},
  author = {Israel P. Rivera-Ríos},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.39812},
  eprint = {2609.39812},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.39812},
}
RIS
TY  - UNPB
TI  - On Entropy and Orlicz endpoint estimates and the dual Muckenhoupt-Wheeden estimate
AU  - Israel P. Rivera-Ríos
PY  - 2026
DA  - 2026/09/30
PB  - arXiv
DO  - 10.48550/arxiv.2609.39812
UR  - https://arxiv.org/abs/2609.39812
AB  - In this paper the incomparability of certain Rahm entropy maximal functions introduced by Rahm and Orlicz maximal functions that arise in quantitative endpoint estimates for Calderón-Zygmund operators is established. Also the dual Muckenhoupt-Wheeden two-weight estimates introduced by Lerner, Ombrosi and Pérez are revisited, improving the possible choices for the maximal function in the left hand side of the inequality, via a transference principle from two-weight endpoint inequalities.
ER  -